Control models in power hierarchies

This paper is devoted to the modeling of control in power hierarchies. Publications in this research area are briefly overviewed. The design principles of such models and the underlying assumptions are described. They are mathematically formalized using difference normal-form games with the information rules of Germeier games. An analytical study is carried out for a system of two-level power hierarchies as a particular case. The general problems of investigating power hierarchies are posed. One-, two-, and n-polar power hierarchies are defined, and their emergence conditions are analyzed. Illustrative examples are provided. An alternative resource competition model is considered. The system of power hierarchies is simulated for different cases, and the simulation results are compared. Conclusions are drawn, and some lines of further research are indicated.